101011101012 has 36 divisors (see below), whose sum is σ = 256670459136. Its totient is φ = 33494080080.

The previous prime is 101011101001. The next prime is 101011101053. The reversal of 101011101012 is 210101110101.

101011101012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011100985 and 101011101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7338318 + ... + 7352069.

It is an arithmetic number, because the mean of its divisors is an integer number (7129734976).

Almost surely, 2^101011101012 is an apocalyptic number.

101011101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011101012 is an abundant number, since it is smaller than the sum of its proper divisors (155659358124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011101012 is a wasteful number, since it uses less digits than its factorization.

101011101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690588 (or 14690583 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011101012 its reverse (210101110101), we get a palindrome (311112211113).

It can be divided in two parts, 10101110101 and 2, that multiplied together give a palindrome (20202220202).

The spelling of 101011101012 in words is "one hundred one billion, eleven million, one hundred one thousand, twelve".